Finite Time Estimation via Piecewise Constant Measurements ⋆

Frédéric Mazenc 1, 2 Saeed Ahmed 3
1 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506
Abstract : We study a broad class of linear continuous-time time-varying systems that contain piecewise continuous disturbances and piecewise constant outputs. Under an observability assumption, we construct a new type of observer to estimate the state of the system in a predetermined finite time in the presence of the disturbances. In contrast to the well-established finite time observer design techniques which estimate the system state using a continuous output, our proposed observer only requires a piecewise constant output. Our simulations illustrate the efficacy of our observer.
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Frédéric Mazenc, Saeed Ahmed. Finite Time Estimation via Piecewise Constant Measurements ⋆. Second IFAC Conference on Modelling, identification and Control of Nonlinear Systems, Jun 2018, Guadalajara, Mexico. ⟨hal-01848996⟩

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